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Finding the Third Proportional to 842,748 and 1,843,146

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Solution

The third proportional to 842,748 and 1,843,146 is: 4,031,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,748 : 1,843,146 = 1,843,146 : x
  2. Step 2: Convert to fraction form
    842,748/1,843,146 = 1,843,146/x
  3. Step 3: Cross multiply
    842,748x = 1,843,146 × 1,843,146
  4. Step 4: Simplify right side
    842,748x = 3,397,187,177,316
  5. Step 5: Solve for x
    x = 3,397,187,177,316/842,748
  6. Step 6: Final answer
    x = 4,031,083.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.